`ISRN GeometryVolume 2011 (2011), Article ID 505161, 16 pageshttp://dx.doi.org/10.5402/2011/505161`
Research Article

## On Almost 𝝋 -Lagrange Spaces

Received 12 October 2011; Accepted 13 November 2011

Academic Editors: A. Belhaj and M. Margenstern

Copyright © 2011 P. N. Pandey and Suresh K. Shukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

1. R. Miron, “A lagrangian theory of relativity I,” Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi Secţiunea I a Matematică, vol. 32, no. 2, pp. 37–62, 1986.
2. R. Miron, “A lagrangian theory of relativity II,” Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi Secţiunea I a Matematică, vol. 32, no. 3, pp. 7–16, 1986.
3. B. Tiwari, “On generalized Lagrange spaces and corresponding Lagrange spaces arising from a generalized Finsler space,” The Journal of the Indian Mathematical Society, vol. 76, no. 1–4, pp. 169–176, 2009.
4. C. Frigioiu, “Lagrangian geometrization in mechanics,” Tensor, vol. 65, no. 3, pp. 225–233, 2004.
5. G. Zet, “Applications of Lagrange spaces to physics,” in Lagrange and Finsler Geometry, vol. 76, pp. 255–262, Kluwer Academic, Dordrecht, The Netherlands, 1996.
6. G. Zet, “Lagrangian geometrical models in physics,” Mathematical and Computer Modelling, vol. 20, no. 4-5, pp. 83–91, 1994.
7. M. Anastasiei and H. Kawaguchi, “A geometrical theory of time dependent Lagrangians: I, non linear connections,” Tensor, vol. 48, pp. 273–282, 1989.
8. M. Anastasiei and H. Kawaguchi, “A geometrical theory of time dependent Lagrangians: II, M-connections,” Tensor, vol. 48, pp. 283–293, 1989.
9. M. Anastasiei and H. Kawaguchi, “A geometrical theory of time dependent Lagrangians: III, applications,” Tensor, vol. 49, pp. 296–304, 1990.
10. M. Postolache, “Computational methods in Lagrange geometry,” in Lagrange and Finsler Geometry, Applications to Physics and Biology, vol. 76, pp. 163–176, Kluwer Academic, Dordrecht, The Netherlands, 1996.
11. S. I. Vacaru, “Finsler and Lagrange geometries in Einstein and string gravity,” International Journal of Geometric Methods in Modern Physics, vol. 5, no. 4, pp. 473–511, 2008.
12. S. Vacaru and Y. Goncharenko, “Yang-Mills fields and gauge gravity on generalized Lagrange and Finsler spaces,” International Journal of Theoretical Physics, vol. 34, no. 9, pp. 1955–1980, 1995.
13. V. Nimineţ, “New geometrical properties of generalized Lagrange spaces of relativistic optics,” Tensor, vol. 68, no. 1, pp. 66–70, 2007.
14. P. L. Antonelli and D. Hrimiuc, “A new class of spray-generating Lagrangians,” in Lagrange and Finsler Geometry, Applications to Physics and Biology, vol. 76, pp. 81–92, Kluwer Academic, Dordrecht, The Netherlands, 1996.
15. P. L. Antonelli and D. Hrimiuc, “On the theory of $\phi$-Lagrange manifolds with applications in biology and physics,” Nonlinear World, vol. 3, no. 3, pp. 299–333, 1996.
16. P. L. Antonelli, R. S. Ingarden, and M. Matsumoto, The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, vol. 58, Kluwer Academic, Dordrecht, The Netherlands, 1993.
17. R. Miron and M. Anastasiei, The Geometry of Lagrange Spaces: Theory and Applications, vol. 59, Kluwer Academic, Dordrecht, The Netherlands, 1994.
18. L. Kozma, “Semisprays and nonlinear connections in Lagrange spaces,” Bulletin de la Société des Sciences et des Lettres de Łódź, vol. 49, pp. 27–34, 2006.
19. M. Anastasiei, “On deflection tensor field in Lagrange geometries,” in Lagrange and Finsler Geometry, Applications to Physics and Biology, vol. 76, pp. 1–14, Kluwer Academic, Dordrecht, The Netherlands, 1996.
20. P. L. Antonelli, Ed., Handbook of Finsler Geometry, Kluwer Academic, Dordrecht, The Netherlands, 2001.